Front-tracking finite element method for dendritic solidification: 765

By P. Zhao, J. Heinrich. 2001

80 citations recorded by the source corpus.

Subfields: Aerospace Engineering, Materials Chemistry, Mechanics of Materials

View Paper: https://www.semanticscholar.org/paper/24000c984f5d8b7a8ada0e65477cce7e931c3a57

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Aerospace Engineering

1. Frédéric Gibou
2. Nicholas Zabaras
3. Ronald Fedkiw
4. Lijian Tan
5. Boo Cheong Khoo
6. Stanley J. Osher
7. T. Liu
8. Frank Losasso

In Materials Chemistry

1. Nicholas Zabaras
2. Ronald Fedkiw
3. Lijian Tan
4. Frédéric Gibou
5. D. Browne

In Mechanics of Materials

1. Ronald Fedkiw
2. Frédéric Gibou
3. Nicholas Zabaras
4. Lijian Tan
5. David J. Biagioni

Citations in the corpus

• A level set simulation of dendritic solidification with combined features of front-tracking and fixed-domain methods (2006, methodology): “The difference in published results [1,3,16,33] for this problem suggest that its solution is highly sensitive to perturbations during the solution process and that the problem is indeed a non-trivial one.”
• A FIXED GRID FRONT-TRACKING MODEL OF THE GROWTH OF A COLUMNAR FRONT AND AN EQUIAXED GRAIN DURING SOLIDIFICATION OF AN ALLOY (2004, background): “Later, Zhao and Heinrich developed a finite-element model of metal solidification in which the evolution of thermal dendritic morphology was visualized [20, 21].”
• A fourth order accurate discretization for the Laplace and heat equations on arbitrary domains, with applications to the Stefan problem (2005, methodology): “Recently, [36] formulated a second order accurate method for the Stefan problem in two spatial dimensions using a Galerkin finite element approach to solve for the energy equation.”